75755057 divided by 646 
We want to figure out the number of times 75755057 can be divided by 646.

Let's proceed to step 1:
7 divided by 646 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 646

Moving on to step 2:
75 divided by 646 is 0 with a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Append the next digit (7) from the dividend to 75 and continue with: 757 / 646

Step 3:
646 can be fit into 757 1 times, resulting in a remainder of 111.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 646 from 757 leaves us with 111.
Grab the next digit (5) from the dividend, add it to 111, then carry on: 1115 / 646

Moving on to step 4:
646 goes into 1115 1 times with a remainder of 469.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 646 from 1115 to get 469.
Append the next digit (5) from the dividend to 469 and continue with: 4695 / 646

Step 5:
646 can be fit into 4695 7 times, resulting in a remainder of 173.
Put 7 as the next digit of the answer. 
Result so far: 117.0
If we take 4522 away from 4695, we end up with 173.
Take the next digit (0) from the dividend and append it to 173, then repeat: 1730 / 646

Let's proceed to step 6:
646 goes into 1730 2 times with a remainder of 438.
Record the quotient 2 as the next digit in the result. 
Result so far: 1172.0
Subtract 1292 from 1730 to get 438.
Take the next digit (5) from the dividend and append it to 438, then repeat: 4385 / 646

Let's proceed to step 7:
The number 646 fits into 4385 6 times, leaving a remainder of 509.
Use 6 as the next digit of our solution. 
Result so far: 11726.0
If we subtract 3876 from 4385, we get 509.
Append the next digit (7) from the dividend to 509 and continue with: 5097 / 646

Going ahead to step 8:
If we divide 5097 by 646, we get 7 and a remainder of 575.
Use 7 as the next digit of our solution. 
Result so far: 117267.0
Deduct 4522 from 5097 and we're left with 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

Let's proceed to step 9:
The number 646 fits into 5750 8 times, leaving a remainder of 582.
Use 8 as the next digit of our solution. 
Result so far: 117267.8
Subtracting 5168 from 5750 leaves us with 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Step 10:
The number 646 fits into 5820 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 117267.89
If we subtract 5814 from 5820, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
60 divided by 646 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 117267.89
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
When dividing 600 by 646, we get 0 with a remainder of 600.
The number 0 becomes the next digit in our result. 
Result so far: 117267.89
Subtract 0 from 600 to get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

The final result is 117267.89 with a remainder of 0.006.